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The Aharonov-Bohm (AB) interference patterns in ring-shaped conductors are usually dominated by random features. The amplitude of the oscillations is random from sample to sample and from point to point on the magnetic field axis owing to…

Condensed Matter · Physics 2009-10-22 J. Liu , W. X. Gao , K. Ismail , K. Y. Lee , J. M. Hong , S. Washburn

We have investigated the Aharonov-Bohm effect in a one-dimensional GaAs/GaAlAs ring at low magnetic fields. The oscillatory magnetoconductance of these systems are for the first time systematically studied as a function of density. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Pedersen , A. E. Hansen , A. Kristensen , C. B. Soerensen , P. E. Lindelof

A novel conductance oscillation in a twisted quantum ring composed of a helical atomic configuration is theoretically predicted. Internal torsion of the ring is found to cause a quantum phase shift in the wavefunction that describes the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Hisao Taira , Hiroyuki Shima

We have detected oscillations of the charge around a potential hill (antidot) in a two-dimensional electron gas as a function of a large magnetic field B. The field confines electrons around the antidot in closed orbits, the areas of which…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Kataoka , C. J. B. Ford , G. Faini , D. Mailly , M. Y. Simmons , D. R. Mace , C. -T. Liang , D. A. Ritchie

Aharonov-Bohm oscillations are studied in the magnetoconductance of a micron-sized open quantum ring coupled capacitively to a Coulomb-blockaded quantum dot. As the plunger gate of the dot is modulated and tuned through a conductance…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 L. Meier , A. Fuhrer , T. Ihn , K. Ensslin , W. Wegscheider , M. Bichler

Quasi-particles in fractional quantum Hall states are collective excitations that carry fractional charge and anyonic statistics. While the fractional charge affects semi-classical characteristics such as shot noise and charging energies,…

We investigate Aharonov-Bohm oscillations of the current through a strongly correlated quantum dot embedded in an arbitrary scattering geometry. Resonant-tunneling processes lead to a flux-dependent renormalization of the dot level. As a…

Condensed Matter · Physics 2009-10-28 C. Bruder , Rosario Fazio , Herbert Schoeller

Tunneling conductance of an Aharonov-Bohm circuit including two quantum dots is calculated based on the general expression of the conductance in the linear response regime of the bias voltage. The calculation is performed in a wide…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Wataru Izumida , Osamu Sakai , Yukihiro Shimizu

With an atomic force microscope a ring geometry with self-aligned in-plane gates was directly written into a GaAs/AlGaAs-heterostructure. Transport measurements in the open regime show only one transmitting mode and Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. F. Keyser , S. Borck , R. J. Haug , W. Wegscheider , M. Bichler , G. Abstreiter

We report experiments on Fabry-Perot electron interferometers in the integer quantum Hall regime. The GaAs/AlGaAs heterostructure devices consist of two constrictions defined by etch trenches in 2D electron layer, enclosing an approximately…

Mesoscale and Nanoscale Physics · Physics 2007-10-08 F. E. Camino , Wei Zhou , V. J. Goldman

We investigate the Aharonov-Bohm (AB) effect for the double quantum dots in the Kondo regime using the slave-boson mean-field approximation. In contrast to the non-interacting case, where the AB oscillation generally has the period of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Tanaka , Norio Kawakami

We present a microscopic picture of quantum transport in quantum antidots in the quantum Hall regime taking electron interactions into account. We discuss the edge state structure, energy level evolution, charge quantization and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Ihnatsenka , I. V. Zozoulenko , G. Kirczenow

We theoretically analyze the effect of electron-electron interactions on Aharonov-Bohm (AB) current oscillations in ring-shaped systems with metallic quantum dots pierced by external magnetic field. We demonstrate that electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 Andrew G. Semenov , Dmitri S. Golubev , Andrei D. Zaikin

We analyze the magnetic field and gate voltage dependence of the longitudinal resistance in an integer quantum Hall Fabry-P\'{e}rot interferometer, taking into account the interactions between an interfering edge mode, a non-interfering…

Mesoscale and Nanoscale Physics · Physics 2019-08-16 Giovanni A. Frigeri , Daniel D. Scherer , Bernd Rosenow

Interference of fractionally charged quasi-particles is expected to lead to Aharonov-Bohm oscillations with periods larger than the flux quantum. However, according to the Byers-Yang theorem, observables of an electronic system are…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Juerg Froehlich , Eugene V. Sukhorukov

Edge states of the quantum Hall fluid provide an opportunity to study mesoscopic effects in a highly correlated electron system that is both experimentally accessible and theoretically tractable. In this paper we review recent work on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Michael R. Geller , Daniel Loss

I. Introduction (Preface, Basic properties of semiconductor nanostructures). II. Theory of Coulomb-blockade oscillations (Periodicity of the oscillations, Amplitude and lineshape). III. Experiments on Coulomb-blockade oscillations (Quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. van Houten , C. W. J. Beenakker , A. A. M. Staring

Linear response conductance of a two terminal Aharonov-Bohm (AB) interferometer is an even function of magnetic field. This "phase symmetry" is no expected to hold beyond the linear response regime. In simple AB rings the phase of the…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 Vadim Puller , Yigal Meir , Martin Sigrist , Klaus Ensslin , Thomas Ihn

We numerically calculate the magnetization by applying the magnetic field ($B$) perpendicular to two-dimensional corbino disk system without electron spin. We obtain that the period of the Aharonov-Bohm (AB) oscillations of magnetization…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Katsumi Itahashi , Keita Kishigi , Yasumasa Hasegawa

We consider the Aharonov-Bohm (AB) effect on a confined electron ground state in a quantum ring defined electrostatically within the phosphorene monolayer. The strong anisotropy of effective masses in phosphorene quenches ground-state…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Tanmay Thakur , Bartlomiej Szafran